Searching for efficient and informative instruments to digitally monitor fraction learning: putting tests for fraction subconstruct knowledge and informal fraction knowledge on the test bench

Fractions are a relevant yet complex topic of school mathematics. Fortunately, educational research issued rich knowledge of central concepts and associated difficulties for students. Using this knowledge for monitoring learning and formative assessment could support students’ learning process. Howe...

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Main Authors: Constanze Schadl, Anke Lindmeier
Format: Article
Language:English
Published: Frontiers Media S.A. 2025-01-01
Series:Frontiers in Education
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Online Access:https://www.frontiersin.org/articles/10.3389/feduc.2024.1367942/full
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author Constanze Schadl
Constanze Schadl
Anke Lindmeier
author_facet Constanze Schadl
Constanze Schadl
Anke Lindmeier
author_sort Constanze Schadl
collection DOAJ
description Fractions are a relevant yet complex topic of school mathematics. Fortunately, educational research issued rich knowledge of central concepts and associated difficulties for students. Using this knowledge for monitoring learning and formative assessment could support students’ learning process. However, access to apt evidence-based tests is restricted, and paper-based testing limits their practical usability. The digital adaptation of paper-based tests may address these challenges due to affordances like automated test scoring. Further, digital tests may facilitate repeated test use necessary for monitoring and formative activities. The present contribution focuses on fraction subconstruct knowledge and informal fraction knowledge and is part of a systematic research effort to transform paper-based tests into a digital format. With two cross-sectional studies in Grades 6 (N = 233) and 5 (N = 271), each with three measurement points, we investigated the psychometric properties of adapted digital parallel tests regarding their suitability for repeated testing. The internal structure of the adapted digital tests proved to be comparable to that of the original paper-based tests in many, but not all, aspects. Parallel tests were found to be sufficiently parallel. The findings for the two focused constructs support that systematic efforts lead to usable tools for students’ fraction learning. The discussion considers how this supports the transformation of research findings to support the adoption of formative assessment.
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spelling doaj-art-804022ddc6f54637aa51305c9667a8312025-01-31T10:53:55ZengFrontiers Media S.A.Frontiers in Education2504-284X2025-01-01910.3389/feduc.2024.13679421367942Searching for efficient and informative instruments to digitally monitor fraction learning: putting tests for fraction subconstruct knowledge and informal fraction knowledge on the test benchConstanze Schadl0Constanze Schadl1Anke Lindmeier2Department of Education, Faculty of Mathematics and Computer Science, Friedrich Schiller University Jena, Jena, GermanyDepartment of Subject-Specific Education Research, Faculty of Humanities, Social Sciences, and Theology, Friedrich-Alexander-Universität Erlangen-Nürnberg, Nuremberg, GermanyDepartment of Subject-Specific Education Research, Faculty of Humanities, Social Sciences, and Theology, Friedrich-Alexander-Universität Erlangen-Nürnberg, Nuremberg, GermanyFractions are a relevant yet complex topic of school mathematics. Fortunately, educational research issued rich knowledge of central concepts and associated difficulties for students. Using this knowledge for monitoring learning and formative assessment could support students’ learning process. However, access to apt evidence-based tests is restricted, and paper-based testing limits their practical usability. The digital adaptation of paper-based tests may address these challenges due to affordances like automated test scoring. Further, digital tests may facilitate repeated test use necessary for monitoring and formative activities. The present contribution focuses on fraction subconstruct knowledge and informal fraction knowledge and is part of a systematic research effort to transform paper-based tests into a digital format. With two cross-sectional studies in Grades 6 (N = 233) and 5 (N = 271), each with three measurement points, we investigated the psychometric properties of adapted digital parallel tests regarding their suitability for repeated testing. The internal structure of the adapted digital tests proved to be comparable to that of the original paper-based tests in many, but not all, aspects. Parallel tests were found to be sufficiently parallel. The findings for the two focused constructs support that systematic efforts lead to usable tools for students’ fraction learning. The discussion considers how this supports the transformation of research findings to support the adoption of formative assessment.https://www.frontiersin.org/articles/10.3389/feduc.2024.1367942/fullpsychometric qualitylearning progress(informal) fraction knowledgedigital assessmentIRT-scaling
spellingShingle Constanze Schadl
Constanze Schadl
Anke Lindmeier
Searching for efficient and informative instruments to digitally monitor fraction learning: putting tests for fraction subconstruct knowledge and informal fraction knowledge on the test bench
Frontiers in Education
psychometric quality
learning progress
(informal) fraction knowledge
digital assessment
IRT-scaling
title Searching for efficient and informative instruments to digitally monitor fraction learning: putting tests for fraction subconstruct knowledge and informal fraction knowledge on the test bench
title_full Searching for efficient and informative instruments to digitally monitor fraction learning: putting tests for fraction subconstruct knowledge and informal fraction knowledge on the test bench
title_fullStr Searching for efficient and informative instruments to digitally monitor fraction learning: putting tests for fraction subconstruct knowledge and informal fraction knowledge on the test bench
title_full_unstemmed Searching for efficient and informative instruments to digitally monitor fraction learning: putting tests for fraction subconstruct knowledge and informal fraction knowledge on the test bench
title_short Searching for efficient and informative instruments to digitally monitor fraction learning: putting tests for fraction subconstruct knowledge and informal fraction knowledge on the test bench
title_sort searching for efficient and informative instruments to digitally monitor fraction learning putting tests for fraction subconstruct knowledge and informal fraction knowledge on the test bench
topic psychometric quality
learning progress
(informal) fraction knowledge
digital assessment
IRT-scaling
url https://www.frontiersin.org/articles/10.3389/feduc.2024.1367942/full
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AT ankelindmeier searchingforefficientandinformativeinstrumentstodigitallymonitorfractionlearningputtingtestsforfractionsubconstructknowledgeandinformalfractionknowledgeonthetestbench